scholarly journals ON EXACT INTEGRABILITY OF 2-D POINCARÉ GRAVITY

1994 ◽  
Vol 09 (30) ◽  
pp. 2817-2823 ◽  
Author(s):  
SERGEY SOLODUKHIN
Keyword(s):  
Exact Integrability

We consider the 2-D Poincaré gravity and show its exact integrability. The choice of the gauge is discussed. The Euclidean solutions on compact closed differential manifolds are studied.

INTEGRABILITY, ENTROPY AND QUANTUM COMPUTATION

1999 ◽  
Vol 10 (07) ◽  
pp. 1205-1228 ◽  
Author(s):  
E. V. KRISHNAMURTHY
Keyword(s):  
Quantum Computation ◽  
Quantum Chaos ◽  
Quantum Control ◽  
Dynamical Evolution ◽  
Open Problems ◽  
Quantum Integrability ◽  
Feynman Path Integrals ◽  
Exact Integrability ◽  
Time Arrow ◽  
Computational Systems

The important requirements are stated for the success of quantum computation. These requirements involve coherent preserving Hamiltonians as well as exact integrability of the corresponding Feynman path integrals. Also we explain the role of metric entropy in dynamical evolutionary system and outline some of the open problems in the design of quantum computational systems. Finally, we observe that unless we understand quantum nondemolition measurements, quantum integrability, quantum chaos and the direction of time arrow, the quantum control and computational paradigms will remain elusive and the design of systems based on quantum dynamical evolution may not be feasible.

scholarly journals THE ASYMPTOTICS OF THE CORRELATION FUNCTIONS IN (1+1)d QUANTUM FIELD THEORY FROM FINITE SIZE EFFECTS IN CONFORMAL THEORIES

1992 ◽  
Vol 07 (16) ◽  
pp. 3885-3909 ◽  
Author(s):  
A. MIRONOV ◽  
A. ZABRODIN
Keyword(s):  
Correlation Functions ◽  
Size Effects ◽  
Central Charge ◽  
Gaussian Model ◽  
Finite Size ◽  
Lattice Models ◽  
Thermodynamic Characteristics ◽  
Finite Size Effects ◽  
Nonlocal Operators ◽  
Exact Integrability

Using the finite-size effects, the scaling dimensions and correlation functions of the main operators in continuous and lattice models of 1d spinless Bose-gas with pairwise interaction of rather general form are obtained. The long-wave properties of these systems can be described by the Gaussian model with central charge c=1. The disorder operators of the extended Gaussian model are found to correspond to some nonlocal operators in the XXZ Heisenberg antiferromagnet. This same approach is applicable to fermionic systems. Scaling dimensions of operators and correlation functions in the systems of interacting Fermi-particles are obtained. We present a universal treatment for 1d systems of different kinds which is independent of the exact integrability and which gives universal expressions for critical exponents through the thermodynamic characteristics of the system.

Exact integrability of the two-level system: Berry’s phase and nonadiabatic corrections

1989 ◽  
Vol 40 (2) ◽  
pp. 526-529 ◽  
Author(s):  
Nilanjana Datta ◽  
Gautam Ghosh ◽  
M. H. Engineer
Keyword(s):  
Level System ◽  
Berry's Phase ◽  
Berry’S Phase ◽  
Exact Integrability
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